The Danes did use M1Ds which they received from the US. A number of these were imported into Canada and sold here without any involvement of the US CMP program. These are either Springfield or Winchester make. They will be fitted with the unique M1D barrel and a M84 scope and mount. In some cases the Danes marked their M84 scopes with a serial/inventory number as well as with a Crown and FKF marking.
There is no such thing as a "matching M1D". All M1Ds were conversions of existing rifles, so any combination of US made parts would be possible. It is also possible that the Danes would have used Breda and Beretta Garand parts as spares to maintain rifles in service. The Danes never made any of the unique M1D barrels.
Be advised that there are reproduction M1D scopes, mounts, and barrel blocks in circulation. If you want further assistance prior to laying out a bundle of coin on this you should furnish some pics and additional details. You are also welcome to PM me with additional details for some help.